Proving linearly independent set

[physics=world]

1. Prove that if A is symmetric and B is skew-symmetric, then {A,B} is a linearly independent set.

I am going to need some help to solve this. Not sure how to begin.

Homework Equations

The Attempt at a Solution

 

[Dick]

1. Prove that if A is symmetric and B is skew-symmetric, then {A,B} is a linearly independent set.

I am going to need some help to solve this. Not sure how to begin.

Homework Equations

The Attempt at a Solution

Try stating the definition of what linear independence means applied to {A,B}. What happens if you take a transpose?

 

[physics=world]

in short the definition leads to the solution only being the trivial solution.

 

[Dick]

in short the definition leads to the solution only being the trivial solution.

I would hope so. That's what linear independence means, if I'm deciphering your response correctly.